Input-Output Finite-Time Stability
Provides a new stability framework for control systems requiring guaranteed performance over finite time, relevant for safety-critical applications like structural engineering.
This paper extends Finite-Time Stability (FTS) to input-output systems (IO-FTS), defining stability over finite time intervals with quantitative bounds on inputs and outputs. The method is applied to minimize building displacement and velocity under earthquake excitation.
This paper introduces the extension of Finite-Time Stability (FTS) to the input-output case, namely the Input-Output FTS (IO-FTS). The main differences between classic IO stability and IO-FTS are that the latter involves signals defined over a finite time interval, does not necessarily require the inputs and outputs to belong to the same class of signals, and that quantitative bounds on both inputs and outputs must be specified. This paper revises some recent results on IO-FTS, both in the context of linear systems and in the context of switching systems. In the final example the proposed methodology is used to minimize the maximum displacement and velocity of a building subject to an earthquake of given magnitude.